Question

The differential equation

dydx=72/(y^1/4+64x^2y^1/4)

has an implicit general solution of the form F(x,y)=K, where K is an arbitrary constant.

In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form

F(x,y)=G(x)+H(y)=K

Find such a solution and then give the related functions requested.

F(x,y)=G(x)+H(y)=

Answer 1